The number 49900
49900 is a composite number with 18 divisors. Its prime factorisation is × × 499. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 499, 998, 1996, 2495, 4990, 9980, 12475 … 49900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49900 is composite. Its prime factorisation is
- 3
The divisors add up to 108500; without 49900 itself that is 58600, so 49900 is abundant (58600 is more than 49900). Euler's totient φ(49900) = 19920 numbers up to 49900 share no factor with it.
- 4
The digits of 49900 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49900 = 2^{2} \times 5^{2} \times 499 \]49900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 108500 |
| Euler totient φ(n) | 19920 |
| Square | 2490010000 |
| Cube | 124251499000000 |
| Square root | 223.383079 (= 10√499) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 202 |
| Scientific notation | 4.99 × |
49900 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred |
| Binary (base 2) | 1100001011101100 |
| Octal (base 8) | 141354 |
| Hexadecimal (base 16) | C2EC |
| Base 3 | 2112110011 |
| As time | 49900 seconds = 13 h 51 min 40 s |
Is 49900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49900 ÷ 2 = 24950) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49900 ÷ 4 = 12475) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49900 ÷ 5 = 9980) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49900 ÷ 10 = 4990) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49900 a prime number?
No. 49900 = × × 499, so it is divisible by 2.
What are the factors of 49900?
1, 2, 4, 5, 10, 20, 25, 50, 100, 499, 998, 1996, 2495, 4990, 9980, 12475, 24950, 49900.
What is 49900 in binary?
1100001011101100 (hexadecimal C2EC, octal 141354).
What is the square root of 49900?
About 223.3831, exactly 10√499.
Is 49900 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 49900?
It is a composite number with 18 divisors.